Max Sauerbrey

Preprints

P5) Parabolic-hyperbolic splitting in support propagation for stochastic porous media equations (with Joshua Utley), arXiv:2609.11468 (28 pages)
P4) The Schrödinger equation with fluctuating nonlinearity in the energy space (with Joris van Winden), arXiv:2609.10417 (19 pages)
P3) Finite speed of propagation and waiting time phenomena for stochastic porous media equations with nonlinear conservative noise (with Günther Grün and Joshua Utley), arXiv:2608.30548 (25 pages)
P2) The incompressible Navier-Stokes-Fourier system with thermal noise (with Benjamin Gess and Zhengyan Wu), arXiv:2603.26307 (56 pages)
P1) A stochastic flow approach to De Giorgi-Nash-Moser estimates for SPDEs with smooth transport noise (with Antonio Agresti and Mark Veraar), arXiv:2511.12692 (34 pages)

Peer-reviewed Articles

5) Well-posedness of the stochastic thin-film equation with an interface potential (with Antonio Agresti), Commun. Math. Phys. 407: 158, 2026 (66 pages); arXiv:2403.12652 (48 pages)
4) Solutions to the stochastic thin-film equation for the range of mobility exponents $n\in (2,3)$, Stoch. Partial Differ. Equ. Anal. Comput. (56 pages); arXiv:2310.02765 (42 pages)
3) Solutions to the stochastic thin-film equation for initial values with non-full support (with Konstantinos Dareiotis, Benjamin Gess and Manuel V. Gnann), Trans. Amer. Math. Soc. 379: 2343-2383, 2026 (41 pages); arxiv:2305.06017 (36 pages)
2) Martingale solutions to the stochastic thin-film equation in two dimensions, Ann. I. H. Poincaré B 60(1): 373-412, 2024 (40 pages); Published Version (PDF); arXiv:2108.05754 (43 pages)
1) Dirichlet form analysis of the Jacobi process (with Martin Grothaus), Stoch. Process. Appl. 157: 376-412, 2023 (36 pages); arXiv:2111.01693 (34 pages)

Contributions to Proceedings

C1) The stochastic Keller-Segel system in critical spaces (with J.-H. Choi, A. Kumar, A. Pitrone, S. Popat), to appear in the Oberwolfach Report for the Seminar 'Stochastic Partial Differential Equations in Critical Spaces' organized by Antonio Agresti and Mark Veraar; arXiv:2607.27472 (29 pages)

Extended Abstracts

A1) Well-posedness of the stochastic thin-film equation with an interface potential, in Oberwolfach Report: Recent Developments in SPDEs and BSDEs meet Harmonic and Functional Analysis, 2025

Theses

T1) Thin Films Under Thermal Noise, Dissertation (TU Delft), Delft University of Technology, 2024 (242 pages); Download available at the repository of the TU Delft

Recordings

R1) A recording of my PhD defense including a layman's talk of 10 minutes on my PhD research can be found here

Page updated

Google Sites

Report abuse